Approximating polynomials for functions of weighted Smirnov-Orlicz spaces

DOI10.1155/2012/982360zbMath1250.41003OpenAlexW2082108884WikidataQ58908800 ScholiaQ58908800MaRDI QIDQ416361

Ramazan Akgün

Publication date: 10 May 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/982360

zbMATH Keywords

algebraic polynomialsFaber seriesDini's smoothness conditionPoisson polynomialstrigonometric polynomial approximation

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Inverse theorems in approximation theory (41A27)

Related Items (7)

Unnamed Item ⋮ Fractional order mixed difference operator and its applications in angular approximation ⋮ Weighted variable exponent grand Lebesgue spaces and inequalities of approximation ⋮ On moduli of smoothness of functions in Orlicz spaces ⋮ Unnamed Item ⋮ Simultaneous approximation properties of de la Vallée-Poussin means in weighted Orlicz spaces ⋮ Jackson type inequalities for differentiable functions in weighted Orlicz spaces

Cites Work

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• Über das Randverhalten der Ableitung der Abbildungsfunktion bei konformer Abbildung
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• APPROXIMATION BY INTERPOLATING POLYNOMIALS IN SMIRNOV-ORLICZ CLASS
• Approximation by trigonometric polynomials in weighted Orlicz spaces
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• Weighted Norm Inequalities for the Hardy Maximal Function
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• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials
• Jackson and smoothness theorems for Freud weights in \(L_ p (0<p\leq\infty)\)

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